Solve for x
x = -\frac{49}{15} = -3\frac{4}{15} \approx -3.266666667
Graph
Quiz
Linear Equation
5 problems similar to:
\frac { - 5 x } { 7 } - \frac { 2 } { 3 } = \frac { 5 } { 3 }
Share
Copied to clipboard
3\left(-5\right)x-14=35
Multiply both sides of the equation by 21, the least common multiple of 7,3.
-15x-14=35
Multiply 3 and -5 to get -15.
-15x=35+14
Add 14 to both sides.
-15x=49
Add 35 and 14 to get 49.
x=\frac{49}{-15}
Divide both sides by -15.
x=-\frac{49}{15}
Fraction \frac{49}{-15} can be rewritten as -\frac{49}{15} by extracting the negative sign.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}